The generator matrix

 1  0  1  1  1  6  1  4  1  1  1  4  1  6  1  1  1  4  1  6  1  1  2  1  1  6  1  1
 0  1  1  0  3  1  2  1  7  6  1  1  2  1  0  3  3  1  6  1  0  3  1  5  2  1  3  0
 0  0  2  0  6  0  0  4  4  0  4  2  2  6  2  6  4  0  2  0  4  4  2  6  0  2  2  0
 0  0  0  2  0  0  6  6  2  4  2  4  4  2  6  2  0  6  2  0  0  4  4  2  2  4  0  0
 0  0  0  0  4  0  4  0  4  0  4  4  0  0  4  0  0  0  0  4  4  4  0  4  4  4  0  0
 0  0  0  0  0  4  0  0  0  4  4  0  0  4  4  4  0  4  0  4  0  4  0  4  0  4  0  4

generates a code of length 28 over Z8 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+43x^22+94x^23+249x^24+318x^25+444x^26+626x^27+598x^28+598x^29+436x^30+322x^31+221x^32+74x^33+32x^34+14x^35+14x^36+2x^37+5x^38+5x^40

The gray image is a code over GF(2) with n=112, k=12 and d=44.
This code was found by Heurico 1.16 in 0.227 seconds.